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Exercises Graphs and straight lines

Example 4.16 from Elementary Algebra, 4.2 Graph Linear Equations in Two Variables

Graph Linear Equations in Two Variables: example 4.16

Graph the equation $x = 2$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The equation has only one variable, $x$ , and $x$ is always equal to 2. We create Table 4.19 where $x$ is always 2 and then put in any values for $y$ . The graph is a vertical line passing through the x-axis at 2. See Figure 4.13.

$x = 2$

$x$ $y$ $(x, y)$

2 1 $(2, 1)$

2 2 $(2, 2)$

2 3 $(2, 3)$

Table 4.19

Figure 4.13

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Graph the equation $x = 5$ .

How did it go?

PreviousGraph Linear Equations in Two Variables: example 4.15 Next Graph with Intercepts: example 4.19

From Elementary Algebra (1st edition) by OpenStax (Rice University), section 4.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.